There may be a sticker on the top of your computer case with the computer name on it.
Right-click on "My Computer" and select "Properties". In the System Properties window, select the "Computer Name" tab. Take note of the full computer name
Click on Start and Run and type in "CMD" (without the quotation marks) and select "OK".
Then type "ipconfig /all" (without the quotation marks) and hit the Enter key. Please note that there is a space between "ipconfig" and "/all."
Something similar to the following text will appear:
Windows IP Configuration
Host Name . . . . . . . . . . . . : ComputerName